||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find «(t). r(t) = e""i+ e'j K(t) =

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A: We have to find the equation of the tangent.

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A: To find the particular solution of ode

Q: 9. Find the sum. (a) 22 32 23 33 29 34 310 (b) 1 + 2/2 23/2 11 1/2 1.

A: b)1+1212+12+1232+.........

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A: Given:         Conic section -3x2-12x-5y=37 This is in the form of standard equation 4py-k=x-h2…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -54 -36

A: In this question we have to find integration by using triple integration.

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Q: 10 Consider the function f(x) Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(z)

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A: Solved below

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A: Given query is to find the limit.

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A: Here we have to check the convergence of the sequence.

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Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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A: Given function f(x,y)=x2+16y2+4 As per our guideline we supposed to answer only first three subparts

Q: From Rogawski ET 2e section 10.5, exercise 7. Apply the Ratio Test to determine convergence or…

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Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: [3 Compute the matrix exponential e4t for the diagonal matrix A =

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A: Explanation of the answer is as follows

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Q: Suppose that f is a continuous function such that = -12. Find xp (r)f P(*") dz.

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Q: The series 1 k ln k k=2 converges. Choose an option: ()Real ()False

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on the interval…

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A: Ellipse

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Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

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A: Explanation of the answer is as follows

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A: Explanation of the answer is as follows

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A: